Scattering by a Conducting Infinite Cylinder Illuminated with a Gaussian Beam

Abstract:

An expansion of the incident Gaussian beam in terms of the cylindrical vector wave functions natural to an infinite cylinder of arbitrary orientation is presented. With such an expansion, the problem of interaction between a Gaussian beams and an infinite cylinder is studied in the framework of the generalized Lorenz-Mie theory. As an example, for the case of a tightly focused Gaussian beams propagating perpendicularly to the cylinder axis, the scattering characteristics are described in detail, and numerical results of the normalized differential scattering cross section are evaluated.

• Periodical: Advanced Materials Research (Volumes 383-390)
• Pages: 1938-1944
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.383-390.1938
• Online since: November 2011
• Authors: Zhi Wei Shi, Bo Zhang, Xian Ming Sun
• Keywords: Conducting Infinite Cylinder, Gaussian Beam, Generalized Lorenz-Mie Theory, Light Scattering

References

[1] Gouesbet G, Maheu B, and Gréhan G Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation ,J. Opt. Soc. Am. A vol. 5, pp.1427-43 (1988).

DOI: 10.1364/josaa.5.001427

[2] Gouesbet G, Gréhan G, and Maheu B Computations of the coefficients in the generalized Lorenz-Mie theory using three different methods, Appl. Opt. vol. 27, pp.4874-83 (1988).

DOI: 10.1364/ao.27.004874

[3] Gouesbet G, Gréhan G, and Maheu B Localized interpretation to compute all the coefficients in the generalized Lorenz-Mie theory, J. Opt. Soc. Am. A vol. 7, pp.998-1003 (1990).

DOI: 10.1364/josaa.7.000998

[4] Wu Z S, Guo L X, Ren K F, Gouesbet G, and Gréhan G Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres, Appl. Opt. vol. 36, p.5188–98 (1997).

DOI: 10.1364/ao.36.005188

[5] Han Y P and Wu Z S Scattering of a spheroidal particle illuminated by a Gaussian beam, Appl. Opt. vol. 40, pp.2501-09 (2001).

DOI: 10.1364/ao.40.002501

[6] Han Y, Zhang H, and Sun X Scattering of Shaped Beam by an Arbitrarily Oriented Spheroid Having Layers with Non-confocal Boundaries, Applied physics B– Lasers and Optics vol. 84, 485-92 (2006).

DOI: 10.1007/s00340-006-2298-7

[7] Han Y P, Zhang H Y and Han G X The expansion coefficients of arbitrarily shaped beam in oblique illumination, Optics Express vol. 15, pp.735-46 (2007).

DOI: 10.1364/oe.15.000735

[8] Ren K F, Gréhan G, and Gouesbet G Scattering of a Gaussian beam by an infinite cylinder in the framework of generalized Lorenz-Mie theory formulation and numerical results" J. Opt. Soc. Am. A vol. 14, pp.3014-1997.

DOI: 10.1364/josaa.14.003014

[9] Mees L, Ren K F, Gréhan G, and Gouesbet G Scattering of a Gaussian beam by an infinite cylinder with arbitrary location and arbitrary orientation, numerical results, Applied Optics vol. 38, pp.1867-76 (1999).

DOI: 10.1364/ao.38.001867

[10] Wang D S and Barber P W Scattering by inhomogeneous nonspherical objects, Appl. Opt. vol. 18, p.1190–97 (1975).

[11] Doicu, A. and T. Wriedt, Formulations of the extended boundary condition method for incident Gaussian beams using multiple-multipole expansions, J. Modern. Opt., Vol. 44, pp.785-801, (1997).

DOI: 10.1080/09500349708230695

[12] Drain, B. T. and P. J. Flatau, Discrete-dipole approximation for scattering calculations, J. Opt. Soc. Am. A, Vol. 11, 1491-1499, (1994).

[13] Ahmed S and Naqvi Q. A. Electromagnetic Scattering from a Perfect Electromagnetic Conductor Cylinder Buried in a Dielectric Half-Space,. Progress In Electromagnetics Research, PIER Vol. 78, pp.25-38, (2008).

DOI: 10.2528/pier07081601

[14] A. R. Edmonds, Angular momentum in quantum mechanics, Princeton University Press, Princeton, N. J, 1957, Chap. 4.

[15] J. A. Stratton, Electromagnetic Theory, New York, McGraw-Hill, (1941).

[16] A. Doicu and T. Wriedt, Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions, Applied. Optics. vol. 36, pp.2971-2978 (1997).

DOI: 10.1364/ao.36.002971